From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #589 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Monday, August 27 2001 Volume 01 : Number 589 ---------------------------------------------------------------------- Date: Sun, 19 Aug 2001 19:30:16 +0000 From: "Andrew Coppin" Subject: Re: (fractint) OT: Sterograms I'm talking about the magic eye images you can make in FractInt by pressing Alt+S. Obviously *someone* around here must know how the algorithm works... Thanks. Andrew. >From: "Paul N. Lee" >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) OT: Sterograms >Date: Fri, 17 Aug 2001 12:09:23 -0500 > >Andrew Coppin wrote: > > > > I know it's a tad off topic but... does > > anyone here have an algorithm for > > drawing sterograms (magic eye pictures)? > > Any help? > > > >Are you talking about having two, basically the same, images shifted >slightly apart from each other (10-15 pixels), but one overlaying the >other. With one version in blue and the other version in red (for use >with the old 3-D glasses)?? > >Or where two completely whole images are side by side but the viewpoint >has been slightly shifted between the two, as to account for the >perspective of each eyeball?? > >P.N.L. >-------------------------------------------------------------- >http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 20 Aug 2001 09:18:39 +1200 From: Subject: Re: (fractint) OT: Sterograms This is a multi-part message in MIME format. - ----------part3b802d2f8a9ae Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Andrew Coppin said: > I'm talking about the magic eye images you can make in FractInt by pressing > Alt+S. Obviously *someone* around here must know how the algorithm works... > You might like to check out http://www.cs.waikato.ac.nz/~singlis/sirds.html All we need know is a stereogram containing a Julibrot... Morgan L. Owens "ASCII-art stereograms! I'll never see everything at this rate..." - ----------part3b802d2f8a9ae Content-Type: application/octet-stream; name="" Content-Transfer-Encoding: base64 bnRlbnQtVHJhbnNmZXItRW5jb2Rpbmc6IGJpbmFyeQ0KDQo= - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 20 Aug 2001 09:50:50 +0000 From: "Andrew Coppin" Subject: Re: (fractint) OT: Sterograms Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they WORK! Nice one! >From: >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) OT: Sterograms >Date: Mon, 20 Aug 2001 09:18:39 +1200 > >Andrew Coppin said: > > > I'm talking about the magic eye images you can make in FractInt by >pressing > > Alt+S. Obviously *someone* around here must know how the algorithm >works... > > >You might like to check out >http://www.cs.waikato.ac.nz/~singlis/sirds.html > >All we need know is a stereogram containing a Julibrot... > >Morgan L. Owens >"ASCII-art stereograms! I'll never see everything at this rate..." > ><< attach3.bin >> _________________________________________________________________ Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 20 Aug 2001 10:33:51 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 20-08-01 (Iteration Bands [6]) Classic FOTD -- August 20, 2001 (Rating 6) Fractal visionaries and enthusiasts: The equal-iteration bands that appear in nearly every FOTD image are sometimes seen as an undesirable result of the 256-color GIF palette. At other times, the bands make the picture. Today's image is one of the best examples of a picture made by its bands. I named the image "Iteration Bands" as a simple description. Then I rated it at a 6. The iterated formula takes the tiny difference between Z^(-1.49) and Z^(-1.51), and multiplies it by a factor of 200, resulting in a parent fractal that extends beyond the default screen, but is worth an outzoom to bring it into view. The image renders from the parameter file in a little under 7 minutes on my tired machine. It downloads in less than half the time from: or from: But before going for the download, give Paul and Scott a chance to post the image. The fractal weather today (Sunday) here at F.C. featured heavy clouds with rain and thunder. The cats accepted the temperature of 81F 27C with barely a shrug, but disapproved strongly of the rain and thunder, letting me know it by making themselves quite obvious around Fractal Central. Something (like the clock on the wall) now tells me that it's time to tackle the things that need to be done. So while I'm occupied with other things, take care, and see you in 24 hours. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Iteration_Bands { ; time=0:06:33.60--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.42277533169381500/+3.340461066977218\ 00/9.005038e+010 params=200/-1.49/-200/-1.51/0/525 float=y maxiter=1200 inside=0 logmap=138 colors=000b83a80fA3kB6pD9uECzFFxNJwYNvcQthUssYrv`i\ gQaUGWPAQKAK0AF0AJHANNARTAVZPZcUXfYViZUl_So`RraPub\ OtcNtSNqGNo5Tk4Zg3cc3i_2oW1tS1sQ5sO9sMDsKHrILrGPrE\ TrCXk9cd7iY4pR2vPApOIkNPeMX`LdVKkQNkOPkNRkLUkPZkUc\ kZhkcmkhrkmwirzgwzhtzhqzhnzhkzihwieribmi_hiXdjUbjR\ `jOZjLYjJViKThLQgLOfMLeNJdNGcOEbPBaP9`Q6_R4ZR6XT7V\ U9UVASWBQXDPYENZGL_HK`IIaKGbLFcNDdOBePAfND`LGVKJQI\ MKHOFIQHIRIJSJJUKKVLKWMLXNLZPM_QM`RNaSNcTOdUOeVOfW\ Wcac`gkYmhWjeUgbSd_QaXOZUMWRKSOJTOJUOJVOJWOJYOK_OK\ aOKcOKeOKgPLiPLkPLmPLoPLqPLsPMuPMwPMyPMzPMzPMzPNzP\ NzPNzPNzPNzPOzPOzPOzPOzPOzPPzPPzPQzPRzPSzPTzPUzPVz\ PWzPXzPYzPZzP_zP`zPazPbzQczQczQczQczQczQczQczQczQc\ zQczQczQczQczQczQczQczQczQczQczQczQczRczSczTczUczV\ czWczXczYczZcz_cz`czaczbczcczcczcczcczcczcczcczccz\ cczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcc\ zcczcczcczcczcczcczcczccz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 21 Aug 2001 10:43:13 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 21-08-01 (A Nameless Fractal [6]) Classic FOTD -- August 21, 2001 (Rating 6) Fractal visionaries and enthusiasts: Try as I did, I could not think of a name for today's image. But that created no problem, as I simply named the image "A Nameless Fractal". I'll let the mathematically over-educated ponder whether today's FOTD actually has a name. Name or no name, today's image is busy. It has more colors than a galaxy has stars. In fact, it has too many colors -- a redundancy that drops it from a rating of 7 to one of a 6. But it's still a fun image to look at, and well worth the 16 minutes required to run the parameter file or the small effort required to go online and download the GIF image from: or: Before going for the GIF image, give Paul and Scott a chance to render and post it. The formula that did the deed is Z^4+2Z^3+C, an apparently simple formula that creates a surprisingly complex fractal. In the vicinity of today's image can be found quadratic midgets, cubic midgets, quartic midgets, quintic midgets and hexic midgets (if that's what Z^6 midgets are called). There are also midgets of fantastic shape, which combine the features of midgets of several degrees. The most obvious appearance of these odd-order midgets in today's image is near the left edge, about 1/3 down from the top edge, where a cubic midget lies. But do not try to resolve the cubic midget. It lies beyond resolution. The mystery of the day's weather however can always be resolved - -- that is if one waits until the next day. On Monday, partly cloudy skies and a temperature of 86F 30C made things here at Fractal Central perfect for cats. It was so perfect in fact that I had a hard time cajoling them to return indoors when the time came. Once again the time has come to get busy. The work is waiting and it's 10:30am. So until next FOTD, take care, and enjoy the fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Nameless_Fractal { ; time=0:16:14.98--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.41562595889429820/-0.000000209527199\ 68/1.010792e+011/1/-12.498 params=1/4/2/3/0/0 float=y maxiter=2100 inside=0 logmap=343 colors=0003qz3qz4rz5rz6sz7sz8sz9tzAuzBvzCwzDwzFsqH\ nhJg_LZRMUINQ9JN10HGQBVR5hQeTUWRZNQcDPh4OMFq3aK7ZR\ BWYFUcJRjNhp`wOcoNehMgaLiVKkOJmHIfAHq3GsCOuKWwScx_\ kgKYR4Lz6SuBRqFRmJQiNQeSQaWPY_PUcP`ZNgULmPJtKHzGFq\ OEiVE`aDThDLoDQqGVrJZtMcuPhwSlxVyG3hM9SSFCXLJdJQlI\ WtHUlLTePSZTRSXQL`PEdO7hKLeGZcCl`8zZb8op4mmLekaZiq\ ShfVgWXfLZeA`EAaa1MU6INBFGFC9K92O64W56c5lKYXWcIfiT\ ZocRumJzkIrjHjiHbhGWgGOfFGeF9YHBaIDeKEeLGeNIeOJeQL\ eRMaX_ZbmXlEOfSFQe7AsEFoKKlQPhXUebZahcZngWfdU_bST`\ RLYPEWO7UM0SLGZQWdVjj_ieWh`TgWPfRMeMIdHFaEC_C9X96V\ 73Q8FL8RH8bC8n88yGErNJkUPd`UYg_RndLm_elWyg`tcdo_hk\ VlfRpaNtYKmQHfJE_BCQ4JI6PQ8VRA`RCqQEzQGsOImNKWMMRL\ OLKQGJSBIUANYAR`9Wc9_g8dj8hm8lp1KUH5LSTUbpbaaL`O4e\ LAiIFmFKrCPv9Uz7ZSIxTNsTRuTVwTZzTbzTfzRfzPgzOgzRcz\ U_zXXz_TzbPzeMzhIzkEznBzmFzlIzlLzkOzkRzjUziXzi_zhb\ zhezedzbdz_dzXczUczhlz_nz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 21 Aug 2001 23:17:54 -0400 From: "Multiple Bogeys" Subject: Re: (fractint) C-FOTD 21-08-01 (A Nameless Fractal [6]) - ------=_NextPart_001_0000_01C12A97.81FC2BE0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Name or no name, today's image is busy. It has more colors than > a galaxy has stars...go online and download the GIF image... The astrophysics professor at my university would be fascinated to learn = that there are fewer than 256 stars in a galaxy. :-)
G= et your FREE download of MSN Explorer at http://explorer.msn.com
- ------=_NextPart_001_0000_01C12A97.81FC2BE0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> Name or n= o name, today's image is busy.  It has more colors than
> a ga= laxy has stars...go online and download the GIF image...
 = ;
The astrophysics professor at my university would be fascina= ted to learn that there are fewer than 256 stars in a galaxy. :-)
<= DIV>


Get your FREE downlo= ad of MSN Explorer at = http://explorer.msn.com
- ------=_NextPart_001_0000_01C12A97.81FC2BE0-- - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 22 Aug 2001 07:33:10 EDT From: JimMuth@aol.com Subject: (fractint) Re: C-FOTD 21-08-01 I wrote: >>Name or no name, today's image is busy. It has more colors than >>a galaxy has stars...go online and download the GIF image... Multiple Bogeys replied: >The astrophysics professor at my university would be fascinated to learn >that there are fewer than 256 stars in a galaxy. :-) So I exaggerated the number of colors a bit. But it's still a very colorful image. Jim M. - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 22 Aug 2001 10:15:04 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 22-08-01 (Ancient Speculum [6]) Classic FOTD -- August 22, 2001 (Rating 6) Fractal visionaries and enthusiasts: A speculum is a polished metal surface that reflects light like a mirror. In fact, our present-day mirrors consist of nothing more than a thin reflective metallic coating applied to the rear surface of a sheet of glass. The glass does little reflecting. Its purpose is to hold the metallic reflecting surface flat, so that the reflected image is undistorted. In the ancient world, the mirrors consisted of bare sheets of reflecting metal, without the glass, which most likely were not perfectly flat, and therefore were prone to distortion. The subtly-tinted, silvery areas of today's image remind me of the distorted reflection from a curved sheet of metal, such as might have been seen in one of those ancient metal mirrors on one of its bad days. This resemblance inspired the name "Ancient Speculum". The image was rendered with the outside set to the option, an option with much potential, which deserves to be used more often. I chose this option when the normal equal-iteration bands failed to bring out what in my opinion was the full potential of the scene. When all was finished, I studied the image a few minutes, and rated it a 6. The image was created by the formula 2(Z^3)+0.8(Z^6)+C. This formula is another of those in which the whole is equal to more than the sum of its parts. An infinity of lifetimes could be spent exploring the infinite depths of this one fractal, but there are an infinity of fractals to explore and I have less than an infinity of lifetimes in which to explore them, so tomorrow we'll be investigating a new fractal. The 5-1/2 minute render time from the parameter file of today's image is within reason. A download of the finished GIF image will be even faster. That download will soon be available at: and at: The fractal weather today was of the routine summer variety, with lots of sun and a comfortable temperature of 84F 29C. The cats showed approval by staying out of trouble. It's now time to start the day's work, so until the next FOTD, take care, and think deep thoughts. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Ancient_Speculum { ; time=0:05:26.58--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.28797582848267940/-0.002364809300565\ 71/7698498/1/-109.999 params=2/3/0.8/6/0/0 float=y maxiter=1200 inside=0 proximity=0.1 outside=fmod colors=000qkarjariashasharXWqMRqBMiIJaOHVUFYVH_VIa\ VJdVKfVLhVMjVNmVPoVQqVRtVSvVTxVUzVVuXXqYYmZZi__e``\ aaaXbcTcdPdeLefHfgDgh9hiAiiBjiCkiCliDmiEniEoiJlfOi\ cTgaYdZaaXf_UkXSpUPtSNmPPgMRaJTWGVPEWJBYD8_75a13b6\ 5`A7ZE8YIAWMBVQDTUFRYGQaIOeJN_IUVH_QGeKFkFEqAEwDDs\ GCoIBkLAhN9dQ8`S7YV6UX5Q_4Na3Jd2Ff1Cb5H_9LXDPUGTRK\ YOOaLSeIViHGgG2eIBcJJaKS_L_YMhWNpUOxSKtPGqMCnKGiRK\ eXOabRYhVUnZQtaMzNO`8QB23cNKPKKSE9VHCTJFRLIPNKNQNL\ SQJUTHWVGjdAmg4qkBjiHcgNXdTQbZJ`dDZjGUlIQnLMpNIrPD\ tS9vU5xW1yf3pm4hkBciIZaTXbaOceFQgPCeZHcSMaMR_FWY9Z\ WHaUPdSXgQdjOlmMtjIpgEmdAja6gZ2dY6fXAgWEhVHiUKjTOk\ SRlRUmTXjWZhY`e_bcadacfcegeghfijhjkjllknmmpnnqopsq\ rtrsssusqspnqnkojhlfegbbdZ_`VXXRUUNRQJONFLLBIKGFJK\ CINEGQGFUIEXJD_LBcMAfO9iP8fQCcRF`SIYTMVTPSUSPVVMWZ\ JXaGXdDYhAZk7_n5_qNZsdYtvXupTskPreLq`HpVDoQ9nL6mT3\ Y`1J_5H_9G_AF_AEZADXACUAC } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 23 Aug 2001 10:22:17 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 23-08-01 (Totally Illegal [8]) Classic FOTD -- August 23, 2001 (Rating 8) Fractal visionaries and enthusiasts: Despite the sound of its name, today's image was not named because it resembles a very sick bird; it was named because it breaks the law. Certain rules exist in the world of fractals that cannot be broken. Well, today's fractal breaks a major rule, which makes it "Totally Illegal". And this is why it got its name. Considering the image's hasty coloring, the rating of 8 is high, but the rating is based not only on the artistic worth, but on the mathematical interest as well. What rule does the image break? It looks harmless enough. On the surface, it resembles nothing more than a large raspberry surrounded by smaller raspberries still on their stems. To find the crime we must look at the generating formula, which subtracts 0.425 parts of Z^4.5 from Z^3.5. These exponents are fractional, and because of the many-valued nature of the complex log function, fractional exponents must always draw fractals filled with discontinuities -- branch cuts as I now call them. Today's image however contains no visible branch cuts. It has therefore broken the law by doing something totally illegal. I have not yet checked to see whether the breaks exist at a deeper level, but I soon will. I suspect that the breaks are there, even while hoping that they are not. Regardless, the surrounding area holds many interesting midgets, some of which will surely be making their appearance as FOTD's in the days to come. A benefit of the shallow location of today's scene is the speed with which the image renders. Even on my tired old fractal computer, the image finishes in a matter of seconds. I have used the passes=b algorithm because not only is it the fastest, it is also the most fun to see in operation. And it draws the image with no loss of detail. Those who prefer not to render the image from the parameter file can still find it posted on the internet at the web sites: and: The weather today here at fractal central turned out to be another normal summer day with mostly sunny skies and a temperature of 87F 30.5C. The fractal cats enjoyed the weather, but got into a tussle when both wanted the same porch chair, which left them sulking at each other for over an hour. I'm sulking a bit because I've failed once again to find time to write that great philosophy of mine. But tomorrow is another FOTD, and I'll have more time before then to think and write. So check in 24 hours and see what happens. Until then, take care, and one person's great wisdom is another's foolish prattle. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Totally_Illegal { ; time=0:00:51.90--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=b center-mag=+0.53136563368005390/0/149296.2 params=1/3.5/-0.425/4.5/0/0 float=y maxiter=400 inside=255 logmap=40 symmetry=xaxis colors=0008Ac9Ac9AeAAgABiBCkBDmAEnAEoAFpAFqAFr9Gs9\ Gt9Hu9Hv9HwCLsEPpHTlJWiMaeOjbRrZTwWmzSszP_zMZqMYmM\ YiMXeMXaMWXMWSMVOMVKMUHMUGMWIOXMQYPSZTU_WV`_XabZbf\ `ciaagc_fdYeeWdfUbhSaiQ`jO_kNYlNWmNVnNToNRpMQqMOrM\ MsMLtMJuLHvLGwLExLCyLBzMEyNHxOJwPMwQOvRRuSTtTWtUZs\ V`rWcqXeqYhpZjo_mn`on_rr_tvaqpbojdldejZggTheNabRV`\ UPZXMTQJNKGHDDB7A61DCAFIIHORKUZM_gOeoQdlSciUcfWbdY\ ba_aZaaWc`Ue_Rg_OiZLkZJmYGoYDqXAsX8pY9mY9jZAgZAd_B\ b_B_`CX`CU`CRaDPaDMbEJbEGcFDcFBcFCcCCcAEdEGeIIfMJg\ PLhTNiXOj_OebOcdOcgOciOclOcnOcqOcsRcqTcpVcnXcmZck`\ cjbchdcgfgfdhgcigbjgajg`kgZlhYmhXmhWnhVohUohVlhWih\ WfhXchYch`chcchfchichlchochrchuchucgucgtcgtcftcfsc\ fscercercerddqgdqjdqldphbpeapb`o__oYZo_XnaWncVneUm\ gTmiRmkQlmPloOlqNksOjuPiwQhyRgzSfzTezUdzVczWbzXazY\ `zZ`zZXzcSzhOzmKzrGzvMzpRzkWzf`z`ezWjzRozMmzQlzUkz\ Yjzaizehzigzm7zU7zX8zZ000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 24 Aug 2001 06:49:10 GMT From: juice@airmail.net Subject: Re: (fractint) OT: Sterograms On Mon, 20 Aug 2001 09:50:50 +0000, "Andrew Coppin" wrote: >Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they = WORK!=20 >Nice one! Sadly I never figured out how to see it. Agent said I had an encoding error when I tried to save it and didn't know how to launch an octet-stream when I tried to launch it.=20 - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 24 Aug 2001 02:11:10 -0500 From: "Paul N. Lee" Subject: Re: (fractint) OT: Sterograms Elaina "Juice" B. T. wrote: > > Agent said I had an encoding error when > I tried to save it and didn't know how > to launch an octet-stream when I tried > to launch it. > The "octet-stream" is a generic Content-Type, as opposed to the different sub-types (e.g., application/postscript, application/x-macbinary, and application-msword), which apply to specific kinds of files. These are usually from binary file attachments in the MIME standard (Multi-purpose Internet Mail Extensions). Typically, it will be either an application, or a document which must be opened in an application (such as a spreadsheet or word processor). If the attachment has a filename extension associated with it, one is usually able to tell what kind of file it is (such as a JPEG format). No matter what kind of file it is, an application/octet-stream attachment is rarely viewable in an e-mail, Usenet, or World Wide Web program. Using an email client, such as Eudora or Outlook, the application should be able to extract and download the attachment automatically. You must then open the attachment in the appropriate application to view its contents. But in the case of Morgan L. Owens' posting, I do not believe the attachment was anything worth troubling over. It was the Link in the email message that directed one to the actual ASCII-art stereograms: http://www.cs.waikato.ac.nz/~singlis/sirds.html Sincerely, P.N.L. - -------------------------------------------------------------- http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 24 Aug 2001 19:48:01 +1200 From: "Morgan L. Owens" Subject: Re: (fractint) OT: Sterograms At 02:11 24/08/2001 -0500, Paul N. Lee wrote: >But in the case of Morgan L. Owens' posting, I do not believe the >attachment was anything worth troubling over. It was the Link in the >email message that directed one to the actual ASCII-art stereograms: > > http://www.cs.waikato.ac.nz/~singlis/sirds.html That was indeed my intention. I haven't the faintest idea where the attachment came from - for some reason Twig just decided to go SQUARF! at that point or something; I wasn't posting from my usual location. Morgan L. Owens "= what?" - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 24 Aug 2001 11:06:58 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 24-08-01 (Also Illegal [8]) Classic FOTD -- August 24, 2001 (Rating 8) Fractal visionaries and enthusiasts: Due to an unexpected rush of non-fractal work, I have little time to write the fractal discussion. So I'll have to let the image speak for itself. Today's image is actually a zoom into yesterday's "Totally Illegal" image. Like yesterday's image, it lacks the discontinuities that would be expected in a fractal created by a combination of Z^3.5 and Z^4.5. Since it is the second consecutive illegal image, I have named it "Also Illegal". Since I gave the coloring considerably more attention than the first "Illegal" image, I have rated today's image another 8. The parameter file renders in 5 minute. In an hour or so, the rendered image will be available for download at: and at: The fractal weather today was more normal summer stuff, with several threats of rain but none actually falling. The temperature of 84F 29C made the cats happy. It's now time to tackle that load of work that waits. Until tomorrow, take care, and keep fractalling. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Also_Illegal { ; time=0:05:09.23--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=mandelbrotmix4 function=ident passes=b center-mag=+0.53136285893222390/0/2.291594e+012/1 params=1/3.5/-0.425/4.5/0/0 float=y maxiter=1700 inside=255 logmap=288 symmetry=xaxis colors=000C7PD7UD8SD9WDA`ECcEDeEEgEGj9Hl5Io0Hk0Je0\ N_0LU6PNATOGVPKYQP_RUaT_dUdfVhhWmkYrmZwm_zAuzDpzEl\ zHhzIdzK`zLYzOTzPPzRLzTHyVDyZ9ya5zg1zj0zm0zq0rk6of\ CkgIghOdjU`k_YleUmkQmqQegQYZQPPQHGK96Q20Z79fCNoH_w\ KkzJlzImzIozHpzHqxGrpGskEmdDlaDc_CVoCyvAzxAzz9zz9z\ kDuVGlGIeTQfdZg_`aVhY`mVguTsxRxyPzzOzzLkwKlxIoxHqx\ EsyDvyAxz9zz7zz6uvCoqIhlOagUWd_Q_eJVkDQq7Nv9OrAPpD\ PmEQkGQhIRfJTdLT`NUZOUWQVURWRUWPVYNWYKWRKTNKRIKPEK\ ODKQGNTKPVORYTU_WVa`Ycd_dhaelccje`hfZggWfhUdkRclPa\ mN`oLZpD70C30A00D51G92ID3KI5NL6OQ7QV8TZ9VcAYfC_kD`\ oEYjIUfLQaONZRKUUHQYDL_9Ic7EeACgEAjH8kK7mO5oQ3qU1r\ Y0u_0vc0xe0yf1wf6ufAsgGqgKpgPmhVlh_jhdhjhfjmejrcjw\ alvZmuWosTprQqqNrqKspIuoEvmCwl8xk6yk3ceUIerNeoQekU\ ehYee`ecde_geWkeUoeQreOveKyeIueHpfGkgEghDcjCZkCUlA\ Qo9Lp8Hq7Cs68v6AxADzGGzK7zv9zuCzsHzpIzoKzmNzlzzAzz\ 9rzAgzCWzDLzEAzGCzECzD000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 25 Aug 2001 10:41:55 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 25-08-01 (Fractal Fairyland [7]) Classic FOTD -- August 25, 2001 (Rating 7) Fractal visionaries and enthusiasts: Another too-busy day brings another shortened discussion. Today's incredibly intricate image reminds me of many things. Sometimes I see a fantastic forest, or a flower garden in twilight. But most of all I see a place where fairies play -- a "Fractal Fairyland". The generating formula mixes portions of Z^(-1.45) and Z^(-14.5). The escape radius, which is in the astronomical range, has evaporated the fractal, leaving an image composed of only trapped points, which with the inside set to the normal color=0, appears as a blank black screen. The inside fill of bof61 takes this blank screen and brings it to life, resulting in today's FOTD. Lacking the time to do a top-notch coloring job, I could rate the image only at a 7 -- a rating that is still above average. Optimal colors could raise the rating to 8. With a render time in the 5-minute range, the parameter file borders on the sluggish. A download of the GIF image from: or: will be far less sluggish. But before going for the download, wait long enough for the image to be rendered and posted. The fractal weather today was perfect for this time of year, with mostly sunny skies and a temperature of 86F 30C. The cats enjoyed the perfection, though things are beginning to get a bit dry here at Fractal Central. With so much work to do, I had no time to philosophize. I can only offer my deepest apologies to those disappointed members of the philofractal list who are waiting eagerly for the next outburst of fractal wisdom. Today will once again be busy, but I'll try to have a bit of the wisdom ready by tomorrow. Check then to see whether I make it. Regardless, I'll have another FOTD ready within 24 hours or less. Until my next appearance, take care, and who knows what fractals lurk in the depths of fractal-land? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Fairyland { ; time=0:04:51.93--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.59746173820668700/-0.777078082651533\ 70/7.023296e+008/1/12.499 params=3.5/-1.45/0.5/-14\ .5/0/1e+130 float=y maxiter=1200 inside=bof61 colors=000dOmmEwdCkkAgr8by7Yz4Tz2Pz0Myg0ez0Xz7Oz`E\ zzIzwMztPwpTnnXdkYVgbKd000i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4\ `M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pnEkd\ PeV``KkVAvP0zM0zI00V08eAGpKOzVVzebznizdkvTmgInV7pI\ 0r80b02O0480000700700702704A04E04G07K77MC7PI8TO8VT\ 8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\ RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m0\ 7zP4zPv0`dOkMkVzzgbzCz7ykGtG4tCMtAbt7r0000`zXApMR0\ YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eYv00P00\ Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz\ 4vy4zibRmRepGtIP0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrm\ yTwTe`gOpznzzbzzRzwGztt0z0Yz0gz0py0ykOzzznIwzTizbX\ zkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0\ zzzRzzGz0V07OEOIXdAn000M0Y0AzA8zY7zm0Cn0Rp0er0tE40\ T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYPpiEyz0zz0zy0\ zv2zTm0bYIkKgv00t0At0dVYb } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sun, 26 Aug 2001 10:05:40 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 26-08-01 (Deep in Seahorse valley [7]) Classic FOTD -- August 26, 2001 (Rating 7) Fractal visionaries and enthusiasts: After all these years of exploring as many odd fractals as I could conjure up, I still consider the Mandelbrot set to be the best fractal of all and Seahorse Valley to be the best area of the Mandelbrot set. What could be more natural then, when one has little time to search, than to go to the best area of the best fractal. I found today's midget automatically. No blind searching was necessary, as it usually is when I am exploring the fractals created by the MandelbrotMix4 formula. I knew before reaching the spot that a midget would be there, though I had only a vague idea of its appearance. The midget I found is today's FOTD. Actually, I spent more time coloring the image than finding it. The colors were broken to emphasize the rings surrounding the midget. Since it is only another Mandelbrot midget, the image would normally rate a 5, but I feel that the coloring raises it to a marginal 7. The name "Deep in Seahorse Valley" tells the location of the scene. The scene lies well into the range where arbitrary precision math becomes necessary, so it is a slow one, rendering from the parameter file in an unlikely exact 26 minutes. But it is no slower than some of the images I create with the M-Mix4 formula. Those with computer time to spare will view the scene by rendering it from the attached parameter file. Those with other things to do will download the image from one of the two following web sites: But in the download case, the drawback is that the viewer must wait until Paul and Scott have had a chance to render and post the image. The fractal weather today was once again of the normal summer variety, though if no rain falls within a few days, I'll have to set up the fractal lawn sprinkler. The fractal cats enjoyed the temperature of 84F (29C). I must once again apologize to the philosophy fans, who have waited so patiently for the philosophy, only to be disappointed again and again. But I assure you that I have much to say. I lack only the time in which to say it. It's now time to turn to other tasks. I'll return however in 24 hours regardless of what may happen. (Except the end of the world) Until then, take care, and raise the Hamiltonian. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ DeepInSeahorseValy { ; time=0:26:00.00--SF5 on a P200 reset=2001 type=mandel passes=b center-mag=-0.7678\ 00719424891301165867/0.117210521723807426016338/1.\ 011233e+019/1/28.587/-0.114 params=0/0 float=y maxiter=2700 inside=255 logmap=447 colors=000LHuKKvKNvJQvJSwJVwIYwI`xIbxHexHhyGkyGmyG\ pzFszFvzFxzczzQ8QSEUUKXWQ`XVcZXe`YfaZgc`heaifbjhck\ jelkfmmgnoiopjprkqrjrngqicpd_o_WnVSmQOlMKkIKcFKXCK\ P9KI6KB9LBBLBELBGMBJMBLMBONBQNBSNBUMCVMDXLEYLE_KF`\ KGbJGhzUewIAwIAtJAqKAnKEkdGhbIeaKb_M_ZNXXPUWRRVTOT\ VLSVIQWFPXCNY9MY6LW9JUCIUFHUHGUKFUNEUQDUSBUVATY9S`\ 8Rc7Qg6Pk5Pn4Op6Oq7Os8Ot9OvAOwBOzCOzUSzcWzm_zwczzg\ zzkrsorzdrvVrsLmpQhmUcjZZgcUehPbmK_rFXw0Ux5UxAPxFG\ wJ7uOBsSFqWIo_MmdQkhTimXgo_eo7cpCapHWqLVqQUrPSrOQs\ MOsLMrKKqJIpIGnHHlIHjIIhJIdJJ`KJXKKTLKPLLLMLHMLDMN\ FOOHPPJRRLSSNUTPVVRXWTYXV_ZX`_Zb``cbbecdfdegeghfii\ gkihmjhnkipkjrAktApqApq7qrAqrCqsEqsGrtJrtLrtNruPsu\ SsvUsvWsvYpuYmuYjuYhuYeuYbtY_tYYtYVtYStYQsYOqMMoOK\ mP0kQ3mT6oV9qXCsZFuaIwcLyeNzgQzjTzlWznZzpazsdzugzw\ izykzvlztnzqozopzlrzjszguzevzbwz`wzHtzKrzMpzOnzRlz\ TjzVhzXdzo`zpXzrTzsPzt000 } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 27 Aug 2001 08:19:18 +0200 From: Guy Marson Subject: Re: (fractint) C-FOTD 25-08-01 (Fractal Fairyland [7]) At 10:41 25/08/01 EDT, you wrote: > >Classic FOTD -- August 25, 2001 (Rating 7) > >Fractal visionaries and enthusiasts: > >Another too-busy day brings another shortened discussion. > >Today's incredibly intricate image reminds me of many things. >Sometimes I see a fantastic forest, or a flower garden in >twilight. But most of all I see a place where fairies play -- a >"Fractal Fairyland". ok, so far .. While playing around with one of the FOTD's I fund a Fractint-bug, producing a nasty hanger of Fractint .. boundary-bug { ; Version 2001 Patchlevel 13 reset=2001 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=recip passes=b center-mag=+1.59746173820668700/-0.77707808265153370/7.023296e+008/1/12.\ 498 params=3.5/-1.45/0.5/-14.5/0/1e+130 float=y maxiter=1200 inside=zmag outside=imag decomp=32 colors=000dOmmEwdCk<2>y7Yz4Tz2Pz0Myg0ez0Xz7Oz`EzzIzwMztPwpTnnXdkYVgbKd00\ 0i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4`M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pn\ E<3>VAvP0zM0zI00V08<2>zVVzebznizdkvTmgInV7pI0r80b02O0480000700700702704A\ 04E04G07K77MC7PI8TO8VT8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\ RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m07zP4zPv0`dOkMkVzzgbzCz\ 7ykGtG4tCMtAbt7r0000`zXApMR0YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eY\ v00P00Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz4vy4zibRmRepGtIP\ 0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrmyTwTe`gOpznzzbzzRzwGztt0z0Y<2>y0ykOzzz\ nIwzTizbXzkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0zzzRzzGz0V07O\ EOIXdAn000M0Y0AzA8zY7zm0C<2>r0tE40T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYP\ piEyz0zz0zy0zv2zTm0bYIkKgv00t0At0dVYb } cheers, Guy - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #589 ******************************